How do I acquire more office space or more lab space for, say, a freezer, biohazard hood, or incubator?

Typically, someone in the office of the Department of Biochemistry and Biophysics handles these requests. Ask your lab manager who that person is. Through the end of March 2017, that person is Amanda Chang, Director of Development and Communications:

Amanda Chang
3013 Genetic Medicine Building
(919) 962-1058
ahc@med.unc.edu